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Finding the Fourth Proportional to 132.47, 197.88 and 113.12

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Solution

The fourth proportional to 132.47, 197.88 and 113.12 is: 168.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.47 : 197.88 = 113.12 : x
  2. Step 2: Convert to fraction form
    132.47/197.88 = 113.12/x
  3. Step 3: Cross multiply
    132.47x = 197.88 × 113.12
  4. Step 4: Simplify right side
    132.47x = 22,384.19
  5. Step 5: Solve for x
    x = 22,384.19/132.47
  6. Step 6: Final answer
    x = 168.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.